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October 17, 2016 - November 21, 2016$350 – $420
The next Teacher’s Training is making a return this October, 17th – 21st. We are happy that our main Trainer Horst Hellman, will be joined by Jurgen Stumpf, an expert in the topic “Projective Geometry”.
Kindly register as soon as possible.
• Corresponding Points
Simple euklidian situation: Relationship between a point within a circle and the corresponding one outside the circle.
• Duality of points and lines
Two points determine a straight line and two straight lines determine a point.
Which is the basic element – the point or the line?
• Polarity of points and lines
Correspondence of points and lines (not just by imagination), but a real constructive correspondence.
• Projections – as shadows and perspectives.
At the end of the course we will understand what the British Mathematician Arthur Caylayle said (19th century): “Projective Geometry is all Geometry”.
Projective Geometry is geometry without any metrics – but we can determine metrics with the elements of projective geometry. So euklidian geometry is just a kind or a part of projective geometry, just a speciality… [e.g. if the radius of the circle is infinite so that the circle fills the whole plane you have euklidian geometry].
This understanding and insight can enhance our thoughts and ideas on what we normally have about the structures of planes and spaces – so that they are no more fixed – but flexible.
Born in 1948 in Hamburg (Germany), Juergen Stumpf is a very experienced Waldorf School educator as well as alumni. He attended Waldorf School since the 4th class, first in Hamburg, then Hamborn (Westfalia, Germany) and Marburg (Hessen, Germany). He did his “Abitur” in Marbug before proceeding to the University. He studied Mathematics and Sociology in Hamburg and Munster (Westfalia, Germany). In 1977 Juergen became a teacher in Heidenheim-Waldforfschool. He taught there for 11 years in the subjects Mathematics, History, Sociology, Geography and IT. He is also the first teacher in Heidenheim for Projective Geometry. This is a topic he is very passionate about till today. After a brief spell away from the school, Juergen came back as a Manager where he served for more than 10 years. Juergen’s keen interest in teaching see him returning to the profession, this time at “Pfalz” (Mainz the capital of “Rheinland-Pfalz”) where he taught Mathematics and Sociology until his retirement in 2013.
Born in 1943 in Germany, Horst Hellmann has spent over 30 years teaching in Waldorf Schools. Since 1982 he has been conducting seminars to train Waldorf teachers, in Australia, India, Taiwan, Thailand and Philippines such as Iloilo in 2005. Horst was involved in setting up 14 schools/initiatives across Australia and Asia. Presently, he is setting up a Waldorf-inspired school in Davao, Tuburan Institute, and Dulyapat in Khonkaen, Thailand. He is also a Mentor for Waldorf Primary Programme Singapore and Main Trainer for Waldorf Primary Teacher’s Training Modules in Singapore.